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Finding the Third Proportional to 253,448 and 379,420

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Solution

The third proportional to 253,448 and 379,420 is: 568,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,448 : 379,420 = 379,420 : x
  2. Step 2: Convert to fraction form
    253,448/379,420 = 379,420/x
  3. Step 3: Cross multiply
    253,448x = 379,420 × 379,420
  4. Step 4: Simplify right side
    253,448x = 143,959,536,400
  5. Step 5: Solve for x
    x = 143,959,536,400/253,448
  6. Step 6: Final answer
    x = 568,004.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.